An invariant related to the existence of conformally compact Einstein fillings
Gursky, Matthew J. · Han, Qing · Stolz, Stephan
Original · EN
We define an invariant for compact spin manifolds X of dimension 4k equipped with a metric h of positive Yamabe invariant on its boundary. The vanishing of this invariant is a necessary condition for the conformal class of h to be the conformal infinity of a conformally compact Einstein metric on X.
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